Question

find the area of a circle with radius 4 in. use the value 3.14 for π, and do not round your answer. be sure to include the correct unit in your answer.

Explanation:

Step1: Write the formula for the area of a circle

The formula for the area of a circle is \(A=\pi r^{2}\), where \(r\) is the radius.

Step2: Substitute the given values

Given \(r = 4\) in and \(\pi=3.14\). Substitute into the formula: \(A = 3.14\times(4)^{2}\).
First, calculate \(4^{2}=16\). Then \(A=3.14\times16\).

Step3: Perform the multiplication

\(3.14\times16=(3 + 0.14)\times16=3\times16+0.14\times16=48+2.24 = 50.24\).

Answer:

\(50.24\ \text{in}^2\)